Izhikevich E.M. (Editor-in-Chief)
Scholarpedia
, the free peer reviewed encyclopedia.
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Izhikevich E.M. (2007)
Dynamical Systems in Neuroscience:
The Geometry of Excitability and Bursting.
The MIT press
(full version in pdf)
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Hoppensteadt F.C. and Izhikevich E.M. (1997)
Weakly Connected Neural Networks.
Springer-Verlag, New York
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Articles: |
Izhikevich E. M., Conway J. H., and Seth A. (2015)
Game of Life.
Scholarpedia, 10(6):1816 |
Izhikevich E. M. (2010)
Hybrid Spiking Models.
Phil. Trans. R. Soc. A 368:5061-5070 |
Szatmary B. and Izhikevich E. M. (2010)
Spike-Timing Theory of Working Memory.
PLoS Computational Biology, 6(8): e1000879 |
Izhikevich E. M. and Hoppensteadt F.C. (2009)
Polychronous Wavefront Computations.
International Journal of Bifurcation and Chaos, 19:1733-1739 |
Izhikevich E. M. and Edelman G. M. (2008)
Large-Scale Model of Mammalian Thalamocortical Systems.
PNAS, 105:3593-3598 |
Izhikevich E. M. and Ermentrout G. B. (2008)
Phase model.
Scholarpedia, 3(10):1487
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Terman D. H. and Izhikevich E. M. (2008)
State space.
Scholarpedia, 3(3):1924
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Izhikevich E.M. (2007)
Solving the Distal Reward Problem through Linkage of STDP and Dopamine Signaling.
Cerebral Cortex, 17:2443--2452 (10.1093/cercor/bhl152)
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Izhikevich E.M. (2007)
Equilibrium.
Scholarpedia, 2(10):2014 |
Seth A. K., Izhikevich E., Reeke G.N., and Edelman G.M. (2006)
Theories and measures of consciousness: An extended framework.
PNAS, 10.1073/pnas.0604347103. |
Izhikevich E.M. and FitzHugh R. (2006)
FitzHugh-Nagumo Model.
Scholarpedia, 1:(9)1349 |
Izhikevich E.M. and Kuramoto Y. (2006)
Weakly Coupled Oscillators.
Encyclopedia of Mathematical Physics, Elsevier, 5:448 |
Izhikevich E.M.(2006)
Bursting.
Scholarpedia, 1(3):1300 |
Izhikevich E.M. (2006)
Polychronization: Computation With Spikes.
Neural Computation,18:245-282 |
Wu N., Enomoto A., Tanaka S., Hsiao C.-F., Nykamp D.Q., Izhikevich E., and Chandler S.H. (2005)
Persistent Sodium Currents in Mesencephalic V Neurons Participate in Burst Generation and Control of Membrane Excitability
Journal of Neurophysiology 93:2710--2722 |
Izhikevich E.M. (2004)
Which Model to Use for Cortical Spiking Neurons?
IEEE Transactions on Neural Networks, 15:1063-1070 (special issue on temporal coding) |
Izhikevich E.M. and Hoppensteadt F.C. (2004)
Classification of Bursting Mappings.
International Journal of Bifurcation and Chaos, 14:3847-3854 |
Izhikevich E.M., Gally J.A., and Edelman, G.M. (2004)
Spike-Timing Dynamics of Neuronal Groups.
Cerebral Cortex, 14:933-944 |
Izhikevich E.M. (2003)
Simple Model of Spiking Neurons.
IEEE Transactions on Neural Networks, 14:1569- 1572 |
Izhikevich E.M. and Hoppensteadt F.C. (2003)
Slowly Coupled Oscillators: Phase Dynamics and Synchronization.
SIAM Journal on Applied Mathematics, 63:1935-1953 |
Izhikevich E.M. and Desai N.S. (2003)
Relating STDP to BCM.
Neural Computation 15:1511�1523 |
Izhikevich E.M., Desai N.S., Walcott E.C., Hoppensteadt F.C. (2003)
Bursts as a unit of neural information: selective communication via resonance.
Trends in Neuroscience 26:161-167 |
Izhikevich E.M. (2002)
Resonance and Selective Communication Via Bursts in Neurons Having Subthreshold Oscillations.
BioSystems, 67:95-102 |
Hoppensteadt F.C. and Izhikevich E.M. (2002)
Canonical Neural Models.
In Arbib MA (Ed) Brain Theory and Neural Networks.
Second
Edition. The MIT press, Cambridge, MA, pages 181-186. (Invited
review paper) |
Izhikevich E.M. (2001)
Synchronization of Elliptic Bursters.
SIAM Review, 43:315-344
(Featured SIGEST paper selected on the basis of its exceptional interest to the entire SIAM community.) |
Izhikevich E.M. (2001)
Resonate-and-Fire Neurons.
Neural Networks, 14:883-894 |
Hoppensteadt F.C. and Izhikevich E.M. (2001)
Synchronization of MEMS
Resonators and Mechanical Neurocomputing.
IEEE Transactions On Circuits and Systems
I, 48:133-138 |
Hoppensteadt F.C. and Izhikevich E.M. (2000)
Synchronization of Laser
Oscillators, Associative Memory, and Optical Neurocomputing.
Physical Review E, 62:4010-4013 |
Hoppensteadt F.C. and Izhikevich E.M. (2000)
Pattern Recognition Via
Synchronization in Phase-Locked Loop Neural Networks.
IEEE Transactions On Neural Networks,
11:734-738 |
Izhikevich E.M. (2000)
Phase Equations For Relaxation
Oscillators.
SIAM Journal on Applied Mathematics, 60:1789-1805 |
Izhikevich E.M. (2000)
Neural Excitability, Spiking,
and Bursting.
International Journal of Bifurcation and Chaos.
10:1171-1266.
(Long review/tutorial paper with 126 illustrations.) |
Izhikevich E.M. (2000)
Subcritical Elliptic Bursting
of Bautin Type.
SIAM Journal on Applied Mathematics, 60:503-535 |
Izhikevich E.M. (1999)
Weakly Connected Quasiperiodic
Oscillators, FM Interactions, and Multiplexing in the Brain.
SIAM Journal on Applied Mathematics, 59:2193-2223 |
Hoppensteadt F.C. and Izhikevich E.M. (1999)
Oscillatory Neurocomputers
With Dynamic Connectivity.
Physical Review Letters 82:2983-2986 |
Izhikevich E.M. (1999)
Class 1 Neural Excitability,
Conventional Synapses, Weakly Connected Networks, and Mathematical Foundations
of Pulse-Coupled Models.
IEEE Transactions On Neural Networks,10:499-507 |
Izhikevich E.M. (1999)
Weakly Pulse-Coupled Oscillators,
FM Interactions, Synchronization, and Oscillatory Associative Memory.
IEEE Transactions On Neural Networks, 10:508-526(Review/tutorial
paper) |
Hoppensteadt F.C. and Izhikevich E.M. (1998)
Thalamo-Cortical Interactions
Modeled by Weakly Connected Oscillators: Could Brain Use FM Radio Principles?
BioSystems, 48:85-94 |
Izhikevich E.M. (1998)
Phase Models With Explicit
Time Delays.
Physical Review E, 58:905-908 |
Izhikevich E.M. (1998)
Multiple Cusp Bifurcations.
Neural Networks, 11:495-508 |
Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and
Dynamical Properties of Weakly Connected Neural Oscillators. II. Learning
of Phase Information.
Biological Cybernetics, 75:129--135 |
Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and
Dynamical Properties of Weakly Connected Neural Oscillators: I. Analysis
of Canonical Model
Biological Cybernetics, 75:117--127 |
Izhikevich E.M. and Malinetskii G.G. (1993)
A Neural Network With
Chaotic Behavior.
Neurocomputers (in Russian) |
Izhikevich E.M. and MalinetskiiG.G. (1992)
A Possible Role of Chaos in Neurosystems,
Dokl. Akad. Nauk SSSR, 326:626-632 (translated
in Sov. Phys. Docl. (1993) 37(10) October 1992:492--495) |
Izhikevich E.M., Mikhailov A.S., and Sveshnikov
N.A. (1991)
Memory, Learning and Neuromediators..
BioSystems, 25:219-230 |
Animated
Talks: |
Phase Dynamics and Synchronization of Relaxation Oscillators
Sixth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2001
(A Powerpoint presentation with MATLAB
animations) |
The Neuron as a Nonlinear Resonator
Workshop "The Neuron as a Nonlinear Oscillator", Salk Institute, La
Jolla, CA, August, 2000
(A Powerpoint presentation with MATLAB
animations) |
Synchronization of Bursters
SIAM Pacific Rim Dynamical Systems Conference, Hawaii, August, 2000
(A Powerpoint presentation with MATLAB
animations) |
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Patents: |
Hoppensteadt F.C. and Izhikevich E.M.
PLL Oscillatory Neurocomputer.
Provisional Patent Application, USPTO. |
Hoppensteadt F.C. and Izhikevich E.M.
Mechanical Computation With MEMS Resonators.
Provisional Patent Application, USPTO, Serial
Number 60/178,654. |
Hoppensteadt F.C. and Izhikevich E.M.
Optical Computation Via Phase Modulation
of Laser Oscillators.
Provisional Patent Application, USPTO. |
Hoppensteadt F.C. and Izhikevich E.M.
Oscillatory Neurocomputers With Dynamic Connectivity.
Provisional Patent Application for Letters Patent
of the United States, Serial No. 60/108,353. |
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